Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in JAVA):

Solution:
/*
ID: mchensd
LANG: JAVA
PROG: CuttingCarrot
 */

/**
 *
 * @author Michael
 */

import java.util.*;
import java.io.*;

public class CuttingCarrot {
    
    public static void main(String[] args) throws IOException {
        BufferedReader br;
        StringTokenizer st;
        PrintWriter pw;
        
        br = new BufferedReader(new InputStreamReader(System.in));
        
        st = new StringTokenizer(br.readLine());
        int n = Integer.parseInt(st.nextToken());
        double h = Double.parseDouble(st.nextToken());
        
        double a = h/2;
        pw = new PrintWriter(System.out);
        for (int i=1; i<n; i++) {
            double k = (Math.sqrt(2*h*i*a/n));
            
            if (i == 1) pw.print(k);
            else pw.print(" " + k);
        }
        pw.println();
        pw.close();
    }

}